Journal
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
Volume 43, Issue 13, Pages 7623-7631Publisher
WILEY
DOI: 10.1002/mma.5977
Keywords
Lie symmetries; optimal systems; reductions; travelling wave solutions; generalized Fisher-Kolmogorov equation
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Funding
- Universidad de Cadiz [MV2018466]
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In this work, we consider a Fisher-Kolmogorov equation depending on two exponential functions of the spatial variables. We study this equation from the point of view of symmetry reductions in partial differential equations. Through two-dimensional abelian subalgebras, the equation is reduced to ordinary differential equations. New solutions have been derived and interpreted.
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